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➷ First calculate how many counters are 'not white'
12 - 7 = 5
We have 5 counters that are 'not white'
The probability of taking a white counter the first time is 7/12
For the next pick, there would be 1 less of the total counters as it is not being replaced
The probability of then taking a 'not white' counter is 5/11
The other way you could still get one white counter is:
The first counter (non white) probability would be 5/12
The second counter (white) probability would be 7/11
Multiply these values:
7/12 x 5/11 = 35/132
5/12 x 7/11 = 35/132
Add these two values together:
35/132 + 35/132 = 70/132
Your answer is 70/132
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A rancher wants to enclose a rectangular field with 220 ft of fencing.
One side is a river and will not require a fence.
What is the maximum area that can be enclosed?
:
The field requires only 3 sides of fence, therefore
L + 2W = 220
L = (220-2W); we can use this for substitution in the Area equation
:
Area
A = L*W
replace L with (220-2W)
A = W(220-2W)
A = -2W^2 + 220W
A quadratic equation, max A occurs at the axis of symmetry, x = -b/(2a)
In this equation
W = %28-220%29%2F%282%2A-2%29
W = 55 ft is the width for max area
:
Find the max area
A = -2(55^2) + 220(55)
A = -2(3025) + 12100
A = 6050 sq/ft is the max area
:
:
Confirm this with the dimensions calculated; 110 * 55 = 6050
Answer:
$980
Step-by-step explanation:
Given the cost of gasoline = $2.80/mile
Total Distance = 175miles x 2 (Back and forth)
= 350 miles
Total Cost = Cost of gasoline x Total Distance =
= $2.80 x 350
= $980
Answer:
I would go with C only because you have the find the median of the lower half of the data set This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1.
Step-by-step explanation:
Lower quartile (xL): 26.5
Median (xm): 37
Upper quartile (xU): 44.5
diversity in the ecosystem happens as a result of evolutionary pressure
Tundras, Rainforests, coral reefs and deciduous forests all are formed as a result of evolutionary pressures. Even seemingly small evolutionary interactions can have large impacts on the diversity of the ecosystems throughout the world.
